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Finding the Fourth Proportional to 3,228.62, 4,842.93 and 920.12

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Solution

The fourth proportional to 3,228.62, 4,842.93 and 920.12 is: 1,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.62 : 4,842.93 = 920.12 : x
  2. Step 2: Convert to fraction form
    3,228.62/4,842.93 = 920.12/x
  3. Step 3: Cross multiply
    3,228.62x = 4,842.93 × 920.12
  4. Step 4: Simplify right side
    3,228.62x = 4,456,076.75
  5. Step 5: Solve for x
    x = 4,456,076.75/3,228.62
  6. Step 6: Final answer
    x = 1,380.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.